Theorems · Theorem · field theory
PerfectClosure.mk_pow
∀ (K : Type u) [inst : CommRing K] (p : ℕ) [inst_1 : Fact (Nat.Prime p)] [inst_2 : CharP K p] (x : ℕ × K) (n : ℕ), PerfectClosure.mk K p x ^ n = PerfectClosure.mk K p (x.1, x.2 ^ n)
- Defined in
- Mathlib.FieldTheory.PerfectClosure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.Primestatement and proof · cited by 2,059
- mul_assocproof · cited by 1,667
- pow_zeroproof · cited by 1,094
- map_oneproof · cited by 861
- Nat.iterateproof · cited by 740
- CharPstatement and proof · cited by 478
- pow_succproof · cited by 374
- mul_powproof · cited by 220
Cited by1
Results whose statement or proof uses this declaration.
- PerfectClosure.frobenius_mkproof · cited by 1